Use the Discriminant to find the number and type of solutions to x^2 + 6x -5 = 4x^2
A 2 Real Solutions
B 1 Real Solution
C Real Solutions, 2 Imaginary Solutions
D 3 Solution

Answers

Answer 1

Answer:

The equation [tex]x^2 + 6x -5 = 4x^2[/tex] have 2 non-real solution, 2 imaginary solutions.

Step-by-step explanation:

Using the Discriminant to find the number and type of solutions to [tex]x^2 + 6x -5 = 4x^2\\x^2-4x^2+6x-5=0\\-3x^2+6x-5=0[/tex]

The discriminant is: [tex]b^2-4ac[/tex]

We have a = -3, b=6 and c=-5

Putting values and finding discriminant

[tex]b^2-4ac\\=(6)^2-4(-3)(-5)\\=36-60\\=-24\\[/tex]

So, we get discriminant = -24

if discriminant  < 0 the solution will have two non-real imaginary solutions.

In our case discriminant  < 0 i,e discriminant  = -24

So, The equation [tex]x^2 + 6x -5 = 4x^2[/tex] have 2 non-real solution, 2 imaginary solutions.


Related Questions

solve for the equation 3r = -24

Answers

Answer:

yes

Step-by-step explanation:

bc Quick maths

Answer:

r=-8

Step-by-step explanation:

solve for x- 5(x+4)=30​

Answers

Answer: x= -12.5

Step-by-step explanation:

Start with distributing-5(x+4) or you get

x-5x-20=30

Add x and -5x to get -4x

Thank you add 20 to each side and get

-4x = 50

Divide by -4 on each side to get x=-12.5

Answer:

x=-25/2 is the answer.

Step-by-step explanation:

Below are the steps for solving the equation:

Step 1: Simplify, combine like terms, and distribute:

x−5(x+4)=30

x+(−5)(x)+(−5)(4)=30

x+−5x+−20=30

(x+−5x)+(−20)=30

−4x+−20=30

−4x−20=30

Add 20 to each side:

−4x−20+20=30+20

−4x=50

Divide each side by -4:

-4x/-4=50/-4

x=-25/2, which is -12.5 as a decimal.

So, your answer is x=-25/2 as a fraction, which is also -12.5 as a decimal.

Brodie plans to ride his hoover board to a Xaiver's house which is 2 miles away. If the
average speed of the hoover board is 5 mph, how many minutes will it take him to get to
Xaiver's house?


Please help it’s timed

Answers

Answer:

2.5 minutes

Step-by-step explanation:

Dividing the average speed by distance will give you 2.5 which is the average speed the hoverboard goes assuming the hoverboard will travel at the same speed the answer is 2.5 minutes.

yall know how to do this?

Answers

my answer isn’t 100%

Solve for x 2.3x-3.2+1.6x=.7x

Answers

Answer:

x=1

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2.3x −3.2 + 1.6x = 0.7x

2.3x + − 3.2 + 1.6x = 0.7x

(2.3x + 1.6x) + (−3.2 )= 0.7x (Combine Like Terms)

3.9x + −3.2 = 0.7x

3.9x − 3.2 = 0.7x

Step 2: Subtract 0.7x from both sides.

3.9x − 3.2 − 0.7x = 0.7x − 0.7x

3.2x − 3.2 = 0

Step 3: Add 3.2 to both sides.

3.2x − 3.2 + 3.2 = 0 + 3.2

3.2x = 3.2

Step 4: Divide both sides by 3.2.

x = 1

Hope this helps!!!!!

Consider the triangle. Which statement is true about the length of the sides?
Each side has a different length.

Two sides have the same length, which is less than the length of the third side.

The three sides have the same length.

The sum of the lengths of two sides is equal to the length of the third side.

Answers

Answer:For this case we observe that the 2 angles of the triangle are equal. Also, we have by definition:

A triangle is , when the three sides are connected(in addition, the three internal angles measure 2 angles 45 degrees and 1 angle 90

Step-by-step explanation:

Which expression can be used to find the product of 320? (3 points)
0 (3 x 2) × (3 x 5)
(3 x 9) * (3 x 5)
(4 x 7) x (2 x 5)
(4 x 8) X (2 x 5)

Will be marked!

Answers

Answer:

( 4 x 8) x (2 x 5)

32 x 10

320

Yesnsidbejdidbdndkkd


What is the r-value of the following data to three decimal places?

Answers

Answer:

.953

Step-by-step explanation:

took it on a test and got it right

Answer:

.953

Step-by-step explanation:

x-5=√x + 1
solve and check for extraneous solutions

Answers

The extraneous solution is 6. First square the right side of the equation, then solve. You get 6. Since when you plug in 6 to the equation, it does not add up to the same value on both sides, then it is extraneous.


Hope this helps!

Given that 8x−4y=39
Find y when x=5
Give your answer as a fraction in its simplest form

Answers

Answer:

answer is 1/4 or One divided by four

Answer:

[tex]y=\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]8x-4y=39; x=5\\\\8(5)-4y=39\\\\40-4y=39\\\\40-40-4y=39-40\\\\-4y=-1\\\\\frac{-4y=-1}{-4}\\\\\boxed{y=\frac{1}{4}}[/tex]

Hope this helps.

The LCM of 4, 9, and 10 is _______.

36

180

40

90

Answers

Answer:

180

Step-by-step explanation:

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188

Multiples of 9:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200

Stay safe and Merry Christmas! :)

Answer:

the answer is 180

Step-by-step explanation:

What is the unit rate for cats per dog if there's 72 cats and 12 dogs

Answers

Answer:

6 dogs

Step-by-step explanation:

72 divided by 12=6

Please mark brainliset

Answer:

6:1, 6/1, or 6 to 1

Step-by-step explanation:

72/12

72/12=6

12/12=1

6/1

Write 27 as a product of primes.
Use index notation when giving your answer.

Answers

27 = 1 x 27, or 3 x 9. Factors of 27: 1, 3, 9, 27. Prime factorization: 27 = 3 x 3 x 3, which can also be written 27 = 3³.

Answer:

3, 9, 3 and 3

Step-by-step explanation:

27

3 and 9

3 and 3

I don't know how to do index notation. I apologize.

A number "a" less than 20. ​

Answers

Answer:

19

Step-by-step explanation:

identify the function shown in this graph

A. y= -x - 4
B. y= x + 4
c. y= x - 4
y. = -x + 4

Answers

Answer:

The function in the graph

=y=-x-4

Step-by-step explanation:

y= -x-4

y=+4

while X=-4

Answer:Y=x+4

Step-by-step explanatio

-10.2m + -9.1 + -9.1m - 5.8m

Answers

Answer:

= −25.1m − 9.1

Step-by-step explanation:

Answer:

-25.1m - 9.1

Step-by-step explanation:

help if you have time !

Answers

Answer:

72 Bricks would be needed.

Step-by-step explanation:

24 * 2 = 48

12 * 2 = 24

48 + 24 = 72

x2 + 13x = -22 solve for x

Answers

I believe the answer would be -2 and -11 hope this helped!

what is 25 rounded to the hundreds place

Answers

Answer:

0

Step-by-step explanation:

because if the number is not higher than 50, you have to round down.

you don’t even have to give the answer just please explain

Answers

Answer:

1/2

Step-by-step explanation:

remember that the formula for the slope of a line is

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

where m is the slope, and the x and y variables are the x-y coordinates of two points. Choose two points on the line:

Point 1 : (-1,3) and Point 2 : (1,4)

Plug in your values:

[tex]m=\frac{4-3}{1-(-1)}[/tex]

[tex]m=\frac{1}{2} \\[/tex]

So the slope of this line is 1/2 !

Answer: The slope is [tex]\frac{1}{2}[/tex].

Here is a visual explanation when you use a graph instead of ordered pairs:

Which relation is not a function?

Answers

For it to be a function none of the x values can repeat.

In D. the x value nine repeats.

Therefore the answer is D.

8 is what percent of 64?

Answers

Answer:

The answer is 12.5

8 is 12.5 percent of 64
Steps:

8:64*100 =

( 8*100):64 =

800:64 = 12.5
All the steps:

Now we have: 8 is what percent of 64 = 12.5

Question: 8 is what percent of 64?

Percentage solution with steps:

Step 1: We make the assumption that 64 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that %100=64

Step 4: In the same vein, x%=8.

Step 5: This gives us a pair of simple equations:
%100=64(1)
x%=8(2)

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

100%/x% = 64/8

Step 7: Taking the inverse (or reciprocal) of both sides yields

x%/100% = 8/64

x =12.5%
Therefore, 8 is 12.5% of 64.

Put the steps of solving the equation in order from first to last.
2x + 1 = -1

Answers

Answer:

x = 1

Step-by-step explanation:

2x + 1 = -1

2x = -1 - 1

2x = -2

x = -2 ÷ -2

x = 1

i need help!
number 14

Answers

Answer:

I’m gonna edit This answer give me a sec to do the work

Step-by-step explanation:

Answer:

1. One Solution

2. No Solution

3. Infinitely Many

Hope this helps :)

Last week, it rained x inches. This week, the amount of rain decreased by 5%. Which expressions represent the amount of rain that fell this week? Match all that apply to "does represent" match the rest to "does not represent".

A. g−0.05

B. g−0.05g

C. 0.95g

D. 0.05g

E. (1−0.05)g

Answers

I think the answer would be A because 5% ×100=0.05 , and in the question they have been telling us that it decreased by 5 from the last week so the equation would be g of the last week - 0.05

A rectangular computer monitor is measured by the length and width of its display resolution. Three different monitors are described below. Monitor A has a display resolution of 640 pixels by 480 pixels. Monitor B has a display resolution of 800 pixels by 600 pixels. Monitor C has a display resolution of 1,280 pixels by 800 pixels. Which of the monitors are similar, based on their display resolution

Answers

Answer: Monitors A and B

Step-by-step explanation:

The similar monitors based on display resolution are those with similar ratios.

Take the ratios to their simplest forms to see which are similar.

Monitor A

= 640 : 480

= 16 : 12

= 4 : 3

Monitor B

= 800 : 600

= 8 : 6

= 4 : 3

Monitor C

= 1,280 : 800

= 32 : 20

= 8 : 5

Monitors A and B are similar as they have the same display ratio.

Graph the equation y = 1-22 + 2x + 3 on the accompanying set of axes. You must
plot 5 points including the roots and the vertex.

Answers

Answer:

Step-by-step explanation:

how would you classify the number 125?
a. perfect square
b. perfect cube
c. both
d. none

Answers

Answer:

A perfect cube *sorry*

Step-by-step explanation:

125 squared is not possible

125 cubed = 5*5*5

Someone answer this question please ASAP 15 pts

Answers

1,250 feet. 2 kilometers to meters is 2000 meters. subtract 750 from that and your answer is 1250 feet.

Answer:

Adrian lives closer to the school by A. 1,250 meters.

Step-by-step explanation:

1 kilometer = 1,000 meters

So, if Kevin's home is 2 kilometers from the school, then it is also 2,000 meters away, since  1,000 x 2 = 2,000.

Adrian lives 750 meters, or 0.75 kilometers away from school.

2,000 - 750 = 1,250.

Therefore, Adrian lives closer to the school by A. 1,250 meters.

Hope this helps! :D

When a number is decreased by 4%, the result is 66. What is the original number to the nearest tenth?

Answers

Answer:

68.8

Step-by-step explanation:

100% = x number

96% = 66

so 100%

= 68.75

to the nearest tenth is 68.8

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